Descriptive set theory | Theorems in topology | Theorems in the foundations of mathematics

Lusin's separation theorem

In descriptive set theory and mathematical logic, Lusin's separation theorem states that if A and B are disjoint analytic subsets of Polish space, then there is a Borel set C in the space such that A ⊆ C and B ∩ C = ∅. It is named after Nikolai Luzin, who proved it in 1927. The theorem can be generalized to show that for each sequence (An) of disjoint analytic sets there is a sequence (Bn) of disjoint Borel sets such that An ⊆ Bn for each n. An immediate consequence is Suslin's theorem, which states that if a set and its complement are both analytic, then the set is Borel. (Wikipedia).

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(ML 13.11) D-separation (part 2)

Definition of d-separation, and statement of the d-separation theorem for "reading off" conditional independence properties from directed graphical models.

From playlist Machine Learning

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Differential Equations: Separation of Variables

This video provides several examples of how to solve a DE using the technique of separation of variables. website: http://mathispower4u.com blog: http://mathispower4u.wordpress.com

From playlist First Order Differential Equations: Separation of Variables

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From playlist Text search with Lucene

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From playlist Webinars by Edureka!

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From playlist Apache Solr Tutorial Videos

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From playlist Text search with Lucene

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Ex 2: Differential Equations: Separation of Variables

This video solves a differential equation using separation of variables. Video Library: http://mathispower4u.com Search by Topic: http://mathispower4u.wordress.com

From playlist First Order Differential Equations: Separation of Variables

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From playlist Apache Solr Tutorial Videos

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From playlist Apache Solr Tutorial Videos

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From playlist Apache Solr Tutorial Videos

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Ex 1: Differential Equations: Separation of Variables

This video solves a differential equation using separation of variables. Video Library: http://mathispower4u.com Search by Topic: http://mathispower4u.wordress.com

From playlist First Order Differential Equations: Separation of Variables

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B01 An introduction to separable variables

In this first lecture I explain the concept of using the separation of variables to solve a differential equation.

From playlist Differential Equations

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From playlist Partial Derivatives

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From playlist ELK Stack Tutorial For Beginners

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This video introduces the technique of separation of variables to solve differential equations.

From playlist First Order Differential Equations: Separation of Variables

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The Divergence Theorem, a visual explanation

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From playlist Multivariable Calculus

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From playlist Webinars by Edureka!

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This video provides an example of how to solve an initial value problem that requires the technique of separation of variables. Video Library: http://mathispower4u.com Search by Topic: http://mathispower4u.wordpress.com

From playlist First Order Differential Equations: Separation of Variables

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From playlist Graph Theory

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(ML 13.13) How to use D-separation - illustrative examples (part 2)

Illustrative examples of using the d-separation theorem to "read off" conditional independence properties from directed graphical models.

From playlist Machine Learning

Related pages

Descriptive set theory | Borel set | Analytic set | Mathematical logic | Polish space